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Quantum Coding Theorems for Arbitrary Sources, Channels and Entanglement Resources
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The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper culminates in the derivation of the dense coding capacity for a noiseless quantum channel, assisted by arbitrary shared entanglement, using this approach. We also review the currently known coding theorems, and their converses, for protocols such as data compression for arbitrary quantum sources and transmission of classical information through arbitrary quantum channels. In addition, we derive the optimal rate of data compression for a mixed source
Forward citations
Cited by 2 Pith papers
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Robustness of Entanglement Manipulation for almost i.i.d. sources
Robustness theorems establish that asymptotic entanglement manipulation rates for MSR almost i.i.d. sources equal those of their i.i.d. references, with universal protocols for pure states.
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Entropy Concentration and Universal Typicality for Weakly Almost i.i.d. Quantum Sources
Establishes noncommutative weak law of large numbers and universal entropy concentration for weakly almost i.i.d. quantum sources.
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